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Finding the Fourth Proportional to 515.76, 772.20 and 466.56

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Solution

The fourth proportional to 515.76, 772.20 and 466.56 is: 698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.76 : 772.20 = 466.56 : x
  2. Step 2: Convert to fraction form
    515.76/772.20 = 466.56/x
  3. Step 3: Cross multiply
    515.76x = 772.20 × 466.56
  4. Step 4: Simplify right side
    515.76x = 360,277.63
  5. Step 5: Solve for x
    x = 360,277.63/515.76
  6. Step 6: Final answer
    x = 698.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.